Research

1. Mathematical models for complex viscoelastic materials

• Tensorial continuum models for viscoelastic flow problems

• Computational and numerical analysis using stabilized mixed finite elements

• Investigation of novel instabilities in viscoelastic flow problems

2. Mechanics of a gas-filled encapsulated bubble submerged in fluid

• Interface energy-based mathematical models for a viscoelastic-shelled microbubble

• Radial dynamics of a gas-filled microbubble with nonlinear viscoelastic shell

• Investigation of non-spherical oscillations and stability of encapsulated bubble under the acoustic field